Ukrainian Mathematical Journal

, Volume 51, Issue 11, pp 1749–1763 | Cite as

Approximation of locally integrable functions on the real line

  • A. I. Stepanets
  • Wang Kunyang
  • Zhang Xirong


We introduce the notion of generalized\(\bar \psi \)-derivatives for functions locally integrable on the real axis and investigate problems of approximation of the classes of functions determined by these derivatives with the use of entire functions of exponential type.


Fourier Series Entire Function Periodic Function Real Axis Integrable Function 
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Copyright information

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • A. I. Stepanets
    • 1
  • Wang Kunyang
    • 2
  • Zhang Xirong
    • 2
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev
  2. 2.Normal UniversityBeijingChina

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